已知y分之x=2分之1,求x的平方 2xy y的平方分之

2x-y分之x+y=2,则2x-y=2(x+y)4x-2y分之x+y-4x+4y分之2x-y=2(2x-y)分之x+y-4(x+y)分之2x-y=4(x+y)分之x+y-4(x+y)分之2(x+y)=

1/x-1/y=2001则(x-xy-y)/(x-y)=2002/2001

2x-y+1的绝对值+（3x+2分之3y）平方=0则2x-y+1=03x+3y/2=0,则2x-y=-1①2x+y=0②①+②,得4x=-1,则x=-1/4①-②,得-2y=-1,则y=-1/2x+y

x+y分之4x-2y-2x-y分之4x+4y=2(2x-y)/(x+y)-4(x+y)/(2x-y)=2*2-4*(1/2)=4-2=2

2/3

解原式=2(x-y)/(x+y)-(x+y)/3(x-y)=6(x-y)(x-y)/[3(x+y)(x-y)]-(x+y)x+y)/[3(x-y)(x+y)]=5(x-y)(x-y)/[(x+y)(x

答：x>1,x-1>0所以：y=2x+1/(x-1)y=2(x-1)+1/(x-1)+2y>=2√[2(x-1)*1/(x-1)]+2y>=2√2+2当且仅当2(x-1)=1/(x-1)即x-1=√2

令2分之x=3分之y=4分之z=k,则：x=2ky=3kz=4kx+y+z=1/12,得：2k+3k+4k=1/129k=1/12k=1/108所以：x=2/108=1/54y=3/108=1/36z

∵（2x+y)/2=(5x+2y)/4=1∴{2x+y=2(1){5x+2y=4(2)(1)==>y=2-2x代入（2）5x+2(2-2x)=4x+4=4,∴x=0,y=2∴(x+2y+1)/(2x-

y分之x=2分之1y=2x所以原原式=(x²-2x²-8x²)分之（x²＋4x²＋4x²）=-9分之9=-1

x+y分之x-y=2求x+y分之3x-3y减x-y分之2(x+y)的值x+y分之x-y=2x-y=2(x+y)(x+y)分之(3x-3y)-(x-y)分之2(x+y)的值x+y分之3x-3y=(x+y

1.令x/2=y/3=z/4=k,则有:x=2ky=3kz=4k所以:(2x+y-z)/(x+y+z)=(2×2k+3k-4k)/(2k+3k+4k)=1/32因为x^2+y^2+2x+4y+4=0即

x+y=2又20分之19x-y=5分之1等式左边加左边,右边加右边.x+y+x-y=20分之632x=20分之63x=40分之63y=40分之55

∵1/x-1/y=2∴(y-x)/(xy)=2∴y-x=2xy∴2x-3xy-2y=2(x-y)-3xy=-4xy-3xy=-7xyx-2xy-y=x-y-2xy=-2xy-2xy=-4xy∴(x-2

解x/y=3∴x=3y∴(x²+xy)/y²=(9y²+3y²)/y²=12y²/y²=12最简公分母(x-1)²(x+

1-8x≥0x≤1/88x-1≥0x≥1/8所以x=1/8y=0+0+1/2=1/2x/y=1/4y/x=4原式=√（1/4+4+2）-√(1/4+4-2)=√25/4-√9/4=5/2-3/2=1

因为x＋y/2=3x＋4y/5=1,所以x＋y=2,3x＋4y=5所以解方程组得x=3,带入x＋5y＋6/3x－y＋1,得4/11

x/3-y/4=3x+2y==>4x-3y=36x+24y==>①32x=-27y==>x=-27y/32②(4x-3y)^2=(36x+24y)^2②==>16x^2+9y^2-24xy=1296x

y分之x=2分之1y=2x所以原原式=(x²-2x²-8x²)分之（x²＋4x²＋4x²）=-9分之9=-1

原式等价于10(x+1)=5(y+3)=4(x+y)10(x+1)=5(y+3)可得2x-y=15(y+3)=4(x+y)可得4x-y=15解得x=7y=13x+2y+3=363x+2y+1=48两式